PLEASE HELP ME! I am really stuck... I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)

Answer: The third choice: [tex]\frac{1}{2} = e^{2k}[/tex]
Step-by-step explanation: You substitute [tex]\frac{1}{2}[/tex] for N in the left side of the equation. The original amount [tex]N_{o}[/tex] is assumed "1" times the (yet unknown value) e raised to the power of k×t
(the assumed, implied factor, 1 is not shown as usual)
t is given as 2, so when you substitute and multiply the factors of the exponent, you get [tex]e^{2k}[/tex] for the right side of the equation.